404242608 has 240 divisors, whose sum is σ = 1341525248. Its totient is φ = 102643200.

The previous prime is 404242603. The next prime is 404242627. The reversal of 404242608 is 806242404.

It is a super-2 number, since 2×404242608² = 326824172245283328, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (404242603) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2479935 + ... + 2480097.

Almost surely, 2^404242608 is an apocalyptic number.

404242608 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 404242608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (670762624).

404242608 is an abundant number, since it is smaller than the sum of its proper divisors (937282640).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

404242608 is a wasteful number, since it uses less digits than its factorization.

404242608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 264 (or 247 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 30.

The square root of 404242608 is about 20105.7854360381. The cubic root of 404242608 is about 739.4021272649.

The spelling of 404242608 in words is "four hundred four million, two hundred forty-two thousand, six hundred eight".